Answer:
136 miles
Step-by-step explanation:
To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of [tex]\frac{map}{real world}[/tex] and simplify.
We know [tex]\frac{map}{real world}=\frac{2cm}{40 miles}[/tex]. We also know
[tex]\frac{6.8cm}{xmiles}[/tex].
We set them equal.
[tex]\frac{6.8}{x}=\frac{2}{40}[/tex]
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
[tex]6.8(40)=2(x)\\272=2x\\\frac{272}{2}=\frac{2x}{2} \\136=x[/tex]
